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The Strong Consistency of Neutral and Monotonic Binary Social Decision Rules

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  • Jain, Satish

Abstract

The purpose of this paper is to investigate the strong consistency of neutral and monotonic binary social decision rules. Individuals are assumed to satisfy von Neumann-Morgenstern axioms of individual rationality. The main result of the paper shows that there does not exist any neutral and monotonic non-null non-dictatorial binary social decision rule which is strongly consistent. The relationship between restricted preferences and the existence of strong equilibria is also investigated. It is shown that for every non-dictatorial social decision function satisfying the conditions of independence of irrelevant alternatives, neutrality, monotonicity and weak Pareto-criterion there exists a profile of individual orderings satisfying value-restriction corresponding to which there is no strong equilibrium.

Suggested Citation

  • Jain, Satish, 2020. "The Strong Consistency of Neutral and Monotonic Binary Social Decision Rules," MPRA Paper 109657, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:109657
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    References listed on IDEAS

    as
    1. Danilov, V. I. & Sotskov, A. I., 1993. "On strongly consistent social choice functions," Journal of Mathematical Economics, Elsevier, vol. 22(4), pages 327-346.
    2. Bhaskar Dutta, 1980. "On the Possibility of Consistent Voting Procedures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(3), pages 603-616.
    3. Oren, Ishai, 1981. "The structure of exactly strongly consistent social choice functions," Journal of Mathematical Economics, Elsevier, vol. 8(3), pages 207-220, October.
    4. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    5. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-161, January.
    6. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    More about this item

    Keywords

    Binary Social Decision Rules; Strong Consistency; Neutrality; Monotonicity; Value-Restricted Preferences;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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